Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds
Fall, Mouhamed Moustapha · Mahmoudi, Fethi
Original · EN
Given a domain Ω of Rᵐ⁺¹ and a k-dimensional non-degenerate minimal submanifold K of Ω with 1≤ k≤ m-1, we prove the existence of a family of embedded constant mean curvature hypersurfaces which as their mean curvature tends to infinity concentrate along K and intersecting ∂ Ω perpendicularly.
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